Electron Positron Annihilation Feynman Diagram

According to the law of conservation of energy their masses are converted. Dirac equation free quantum ﬁelds and construction of feynman amplitude using feynman diagrams.

File Feynman Diagram Of Electron Positron Annihilation V2 Png

We also show how such calculations are done with the aid of computer.

Electron positron annihilation feynman diagram. Contents 1 natural units 2 2 single particle dirac. Feynman diagrams and electron positron annihilation. Schroeder department of physics weber state university.

As an example we give a detailed calculation of cross section for annihilation of electron and positron into a muon pair. That is the arrowheads are reversed. Changing the position of the internal vertices does not a ect the feynman diagram it still represents the same contribution to the amplitude.

Electron positron annihilation is the process in which a positron collides with an electron resulting in the annihilation of both particles. Feynman diagrams feynman rules matrix elements cross sections electromagnetic vertex coupling strength coupling constant conservation laws qed processes electron proton scattering electron positron annihilation higher order diagrams precision qed tests running of alpha dirac equation appendix. In quantum electrodynamics bhabha scattering is the electron positron scattering process.

An annihilation process and a scattering process. A feynman diagram represents a perturbative contribution to the amplitude of a quantum transition from some initial quantum state to some final quantum state. Bhabha scattering is named after the indian physicist homi j.

And that the photon subsequently collided with the electron and positron leaving nothing. The left side and right side just represent di erent time orderings so each is just a di erent way of writing. Electrons or β particles and positrons or β particles are of equal mass but opposite charge.

The bhabha scattering rate is used as a luminosity monitor in electron positron colliders. For example in the process of electron positron annihilation the initial state is one electron and one positron the final state. Feynman diagram of the annihilation of an electron e by a positron e the annihilation of the particle antiparticle pair leads to the formation of a muon μ and an antimuon μ.

Positrons are the antimatter equivalent of an electron produced from b decay. Both antiparticles e and μ are represented as particles moving backward in time. There are two leading order feynman diagrams contributing to this interaction.

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Qed